1 citations · 1 across the 4 of their papers we have counts for
8 papers
Singular orthotropic functionals with nonstandard growth conditions
Pierre Bousquet, Lorenzo Brasco, Chiara Leone
We pursue the study of a model convex functional with orthotropic structure and nonstandard growth conditions, this time focusing on the sub-quadratic case. We prove that bounded l…
Gradient estimates for an orthotropic nonlinear diffusion equation
Pierre Bousquet, Lorenzo Brasco, Chiara Leone +1
We consider a quasilinear degenerate parabolic equation driven by the orthotropic Laplacian. We prove that local weak solutions are locally Lipschitz continuous in the spatial…
The equation div+
Pierre Bousquet, Gyula Csató
We study the solutions to the equation whe…
Lipschitz regularity for orthotropic functionals with nonstandard growth conditions
Pierre Bousquet, Lorenzo Brasco
We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, wi…
On the Lipschitz character of orthotropic harmonic functions
Pierre Bousquet, Lorenzo Brasco, Chiara Leone +1
We prove that local weak solutions of the orthotropic harmonic equation are locally Lipschitz, for every and in every dimension. More generally, the result holds true…
Weak approximation by bounded Sobolev maps with values into complete manifolds
Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen
We have recently introduced the trimming property for a complete Riemannian manifold as a necessary and sufficient condition for bounded maps to be strongly dense in $W^{1,…